John Adams plans to retire at the age of 62. He wants an annual income of $60,000 per year. John is currently 45 years of age. How much does he have to place at the end of each year into a retirement account earning 15 percent per year in order to have an adequate retirement nest egg at age 62? He believes that he will live to be 87 and plans to earn 12 percent during retirement. He will draw the money at the end of each year.

Forty-two percent of federal revenue comes from . income taxes paid by businesses and corporations make up about of federal revenue. taxes collected for social security and medicare make up of federal revenue.

Why are the four primary service outputs of spatial convenience, lot size, waiting time, and product variety important to logistics management? provide examples of competing firms that differ in the level of each service output provided to customers?

Suppose that two firms produce differentiated products and compete in prices. as in class, the two firms are located at two ends of a line one mile apart. consumers are evenly distributed along the line. the firms have identical marginal cost, $60. firm b produces a product with value $110 to consumers.firm a (located at 0 on the unit line) produces a higher quality product with value $120 to consumers. the cost of travel are directly related to the distance a consumer travels to purchase a good. if a consumerhas to travel a mile to purchase a good, the incur a cost of $20. if they have to travel x fraction of a mile, they incur a cost of $20x. (a) write down the expressions for how much a consumer at location d would value the products sold by firms a and b, if they set prices p_{a} and p_{b} ? (b) based on your expressions in (a), how much will be demanded from each firm if prices p_{a} and p_{b} are set? (c) what are the nash equilibrium prices?